We introduce a new notion of fuzzy r -interior which is an extension of Chang’s fuzzy interior. Using fuzzy r -interior, we define fuzzy r -semiopen sets and fuzzy r semicontinuous maps which are generalizations of fuzzy semiopen sets and fuzzy semicontinuous maps in Chang’s fuzzy topology, respectively. Some basic properties of fuzzy r -semiopen sets and fuzzy r -semicontinuous maps are invest...

In this paper, we introduced the concepts of g ** -closed sets as well as g ** -open sets and studied some of their basic properties. Further we defined g ** -continuous mappings and investigated their basic properties. In addition we obtained g ** -irresolute mappings and some of their properties are derived. AMS (2000) subject classifications: 54A05, 54A10, and 54D10.

The concept of a (δ, β)-irresolute function in topological spaces is introduced and studied. Some of their characteristic properties are considered. We also investigate the relationships between these classes of functions and other classes of non-continuous functions. AMS subject classifications: 54C10, 54D10

In this paper we introduce intuitionistic fuzzy completely regular weakly generalized continuous mappings and some of their properties are studied.

It has been studied that, the fine-irresolute mapping introduced in [13] includes all mappings defined by Császár (cf. [5]) in a fine space which is a special case of generalized topological space. It has been also noted that g-α-irresolute function defined by Bai et al [1] is also included in the same fine-irresolute mapping.

In this paper we prove a common fixed point theorem for compatible maps of type (β) on fuzzy metric spaces with arbitrary continuous t-norm.

in this paper, we present the concepts of a fuzzy soft left (right) ideal and fuzzy soft interior ideal over an ordered semigroup s . some basic results of fuzzy soft left (right) ideals and fuzzy soft interior ideals are investigated and the supported examples are provided. different classes, regular, intra-regular, and simple ordered semigroups are   characterized by means of fuzzy sof...

In this paper, some new types of regularity axioms, namely pairwise quasi-regular, semi-regular, pseudo regular and are defined studied in both ech fuzzy soft bi-closure spaces ( bicsp’s) their induced bitopological spaces. We also study the relationships between them. show that all these hereditary property is satisfied under closed fs bi-csubsp . Furthermore, we define normality semi-normal, ...